Practice Paper 5 (Probability & Statistics 1) (CIE AS Maths: Pure 1)

Practice Paper Questions

2 marks

Derek is watching cars pass his window. He knows there's a 25% chance that a passing car will be blue.

Find the probability that the first blue car Derek sees is the 8^th car to pass his window.

How did you do?

2 marks

Find the probability that Derek will see a blue car within the first 8 cars that pass his window.

How did you do?

1 mark

Find the expected number of cars to pass Derek's window until he sees his first blue car.

How did you do?

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$x$	$- 2$	$0$	$2$	$4$	$6$
$P (X = x)$	$p$	$\frac{1}{2}$	$q$	$\frac{1}{15}$	$q$